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\frac{2}{3}x=7840-6
Subtract 6 from both sides.
\frac{2}{3}x=7834
Subtract 6 from 7840 to get 7834.
x=7834\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
x=\frac{7834\times 3}{2}
Express 7834\times \frac{3}{2} as a single fraction.
x=\frac{23502}{2}
Multiply 7834 and 3 to get 23502.
x=11751
Divide 23502 by 2 to get 11751.